Publication de 12 numéros par an
ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337
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Investigation of Uniform by Delay Stability of Nontrivial Equilibrium Point of One Population Model
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RÉSUMÉ
Consideration was given to a mathematical model of population dynamics in the form of a system of two differential equations with a time delay argument and a quadratic right-hand side. The corresponding system without delay was preliminary studied and its phase portrait was constructed. The effect of delay on the qualitative behavior of solutions was considered. Using the Lyapunov direct method there was studied the stability of nonzero stationary equilibrium state. The results are formulated in the form of matrix algebraic inequalities.
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Martynyuk A.A., Khusainov D.Ya., Chernienko V.A., Constructive estimation of Lyapunov function for the systems with quadratic right nonlinearity, Prikladnaya mekhanika, 2018, 54, No. 3, 114–126.